There are 12 total siblings in a family. There are 4 sisters, and the rest are brothers. What is the ratio of sisters to brothers?(1 point)
Responses
8:12
ratio of 8 to 12
12:4
ratio of 12 to 4
4:8
ratio of 4 to 8
4:12
ratio of 4 to 12
The correct answer is: 4:8, ratio of 4 to 8.
At a barbecue, there are 20 carrots and 15 celery sticks. What is the whole-to-part ratio for choices of vegetables and carrots? Use the word to in your answer.(1 point)
Responses
35 to 15
35 to 15
20 to 35
20 to 35
35 to 20
35 to 20
15 to 20
The correct answer is: 35 to 20, 35 to 20.
At a birthday party, there are refreshments available. At one table, there are 13 lemonades, 14 bottles of water, and 12 boxes of orange juice. What is the whole-to-part ratio for the total refreshments to boxes of orange juice written as a fraction?(1 point)
Responses
14/39
Start Fraction 14 over 39 End Fraction
12/39
Start Fraction 12 over 39 End Fraction
39/13
Start Fraction 39 over 13 End Fraction
39/12
Start Fraction 39 over 12 End Fraction
The correct answer is: Start Fraction 39 over 12 End Fraction.
Brayden and Dominic both babysit on the weekend. This weekend Brayden and Dominic earned money in a ratio of 3:1
. If the boys earned a total of $48, how much did Dominic earn?
(1 point)
Responses
$12
$12
$36
$36
$48
$48
$16
To find out how much Dominic earned, we need to determine the portion of the total that corresponds to the ratio 1 in the total ratio of 3:1.
The ratio 3:1 can be divided into 4 equal parts (3 + 1 = 4).
To find Dominic's portion, we divide the total of $48 by 4: $48/4 = $12.
Therefore, Dominic earned $12.
What is the value of one of the rectangles shown in the tape diagram?
(1 point)
Responses
14
14
6
6
7
7
1
Without the specific information or context of the tape diagram, it is not possible for me to determine the value of one of the rectangles shown. Please provide more information or a visual representation of the tape diagram so that I can help you better.
Use the image to answer the question.
An illustration shows a set of three adjacent boxes labeled as Birds. Another set of four adjacent rectangles is labeled as Dogs and placed below Birds. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 42.
What is the value of one of the rectangles shown in the tape diagram?
(1 point)
Responses
14
14
6
6
7
7
1
1
Based on the information provided, the tape diagram shows three rectangles labeled as "Birds" and four rectangles labeled as "Dogs", with the same dimensions for each rectangle. The total number of rectangles in the diagram is given as 42.
To find the value of one of the rectangles, we need to divide the total number of rectangles (42) by the total number of rectangles in one set (3 for "Birds" + 4 for "Dogs"):
42 / (3 + 4) = 42 / 7 = 6
Therefore, the value of one of the rectangles shown in the tape diagram is 6.
Henry earns $13
per hour for babysitting his cousin Genesis. Use this information to make a ratio table to determine how much money Henry will earn if he babysits for 5 hours.(1 point)
Responses
Number of Hours Money Earned
1 $13
2 $26
3 $39
4 $52
5 $65Number of Hours Money Earned 1 $13 2 $26 3 $39 4 $52 5 $65
Number of Hours Money Earned
2 $13
4 $26
6 $39
8 $52
10 $65Number of Hours Money Earned 2 $13 4 $26 6 $39 8 $52 10 $65
Number of Hours Money Earned
1 $13
2 $26
3 $39
$52 4
5 $65Number of Hours Money Earned 1 $13 2 $26 3 $39 $52 4 5 $65
Number of Hours Money Earned
$13 1
$26 2
$39 3
$52 4
$65 5Number of Hours Money Earned $13 1 $26 2 $39 3 $52 4 $65 5
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The correct answer is:
Number of Hours Money Earned
1 $13
2 $26
3 $39
4 $52
5 $65
This shows the correct ratio table for the number of hours babysitting and the corresponding money earned.
Use the table to answer the question.
Daffodils 3 6 10 12
Roses 4 8 12 16
There are 4 roses and 3 daffodils in a bouquet of flowers. Use this information to make a table to determine how many roses and daffodils would be in 4 bouquets.
(1 point)
Responses
The table is not set up correctly because all the ratios in the table cannot be simplified to 34
.
The table is not set up correctly because all the ratios in the table cannot be simplified to Start Fraction 3 over 4 End Fraction .
The table has been set up correctly because all ratios in the table simplify to 16
.
The table has been set up correctly because all ratios in the table simplify to Start Fraction 1 over 6 End Fraction .
The table is set up correctly because at least two ratios in the table can be simplified to 34
.
The table is set up correctly because at least two ratios in the table can be simplified to Start Fraction 3 over 4 End Fraction .
The table has been set up incorrectly because all the ratios are equivalent.
The table has been set up incorrectly because all the ratios are equivalent.
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The correct answer is:
The table is not set up correctly because all the ratios in the table cannot be simplified to Start Fraction 3 over 4 End Fraction.
This is because the ratios for daffodils and roses in the table are different and cannot be simplified to a common ratio. Therefore, the table is not set up correctly.
Use the table to answer the question.
Hot Dogs Eaten 11 33 x
77 y
Time (min) 1 3 5 7 9
In a hot dog eating contest, Dwayne can eat 11 hot dogs per minute. How many hot dogs can he eat in 5 minutes? How many hot dogs can he eat in 9 minutes?
(1 point)
Responses
55; 99
55; 99
66; 154
66; 154
7; 11
7; 11
10; 18
To determine how many hot dogs Dwayne can eat in 5 minutes, we need to look at the table and find the corresponding value for 5 minutes. The value of x in the table represents the number of hot dogs eaten in 5 minutes.
From the table, we can see that in 1 minute Dwayne eats 11 hot dogs. If he eats 11 hot dogs in 1 minute, then in 5 minutes he can eat 11 x 5 = 55 hot dogs.
Similarly, to find out how many hot dogs Dwayne can eat in 9 minutes, we need to find the corresponding value for 9 minutes. The value of y in the table represents the number of hot dogs eaten in 9 minutes.
From the table, we can see that in 1 minute Dwayne eats 11 hot dogs. If he eats 11 hot dogs in 1 minute, then in 9 minutes he can eat 11 x 9 = 99 hot dogs.
Therefore, Dwayne can eat 55 hot dogs in 5 minutes and 99 hot dogs in 9 minutes.
Evaluate the following algebraic expression
yx ÷ 2; when x = 7, and y = 2
(1 point)
Responses
36
36
7
7
4.5
4.5
1.75
To evaluate the expression yx ÷ 2 when x = 7 and y = 2, we substitute the given values into the expression:
yx ÷ 2 = 2(7) ÷ 2 = 14 ÷ 2 = 7
Therefore, the value of the expression is 7.